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636131340 = 223351390617
BaseRepresentation
bin100101111010101…
…001100000001100
31122022222211011000
4211322221200030
52300322200330
6143042300300
721523012215
oct4572514014
91568884130
10636131340
112a7096989
12159057690
13a1a395a0
14606b040c
153aca8560
hex25ea980c

636131340 has 96 divisors (see below), whose sum is σ = 2131335360. Its totient is φ = 156584448.

The previous prime is 636131329. The next prime is 636131341. The reversal of 636131340 is 43131636.

636131340 is a `hidden beast` number, since 6 + 3 + 613 + 1 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (636131341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38289 + ... + 52328.

It is an arithmetic number, because the mean of its divisors is an integer number (22201410).

Almost surely, 2636131340 is an apocalyptic number.

636131340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

636131340 is an abundant number, since it is smaller than the sum of its proper divisors (1495204020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

636131340 is a wasteful number, since it uses less digits than its factorization.

636131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90648 (or 90640 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 636131340 is about 25221.6442762957. The cubic root of 636131340 is about 860.0339539506.

Adding to 636131340 its reverse (43131636), we get a palindrome (679262976).

The spelling of 636131340 in words is "six hundred thirty-six million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 90617 181234 271851 362468 453085 543702 815553 906170 1087404 1178021 1359255 1631106 1812340 2356042 2446659 2718510 3262212 3534063 4077765 4712084 4893318 5437020 5890105 7068126 8155530 9786636 10602189 11780210 12233295 14136252 16311060 17670315 21204378 23560420 24466590 31806567 35340630 42408756 48933180 53010945 63613134 70681260 106021890 127226268 159032835 212043780 318065670 636131340